Math 1613 - TrigonometryDiscussion Board Week 7 - Due 2016.07.24

Find exact solutions over the indicated interval.

1. 2 sin(2x) =√3, 0 ≤ x ≤ π

2. 1− 2√2 sin(x) cos(x) = 0, 0 ≤ x ≤ π

3. sin(2x) + cos(x) = 0, −∞ < x <∞

4. sin2(θ) + 2 cos(θ) = −2, 0 ≤ θ < 2π

5. 2 cos2(θ) + 3 sin(θ) = 0, 0 ≤ θ < 2π

6. 4 cos2(2z)− 4 cos(2z) + 1 = 0, 0 ≤ z ≤ π

7. cos(x) = cot(x), 0 ≤ x < 2π

8. 4 cos2(x)− 3 = 0, 0 ≤ x ≤ 2π

9. sin(x) cos(x) =1

2, 0 ≤ x ≤ π

10. cos2(θ) =1

2sin(2θ), −∞ < θ <∞

11. 2 sin2(θ) + sin(2θ) = 0, −∞ < θ <∞

12. cos(x)− sin(x) = 1, 0 ≤ x < 2π

13. cos(3x)− cos(x) = sin(x), 0 ≤ x ≤ π

14. 2 cos2(θ) = 3 sin(θ) + 3, −∞ < θ <∞

15. sin(5x)− sin(3x) = sin(x), 0 ≤ x ≤ π/2

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